Edit Profile Brown, Kenneth Stephen Compute Distance To: Compute Author ID: brown.kenneth-s Published as: Brown, K. S.; Brown, K. Stephen; Brown, Kenneth; Brown, Kenneth S. Homepage: http://www.math.cornell.edu/~kbrown/ External Links: MGP · Wikidata · GND Documents Indexed: 44 Publications since 1961, including 7 Books all top 5 Co-Authors 26 single-authored 3 Abramenko, Peter 3 Geoghegan, Ross 2 Diaconis, Persi Warren 2 Farrell, Patrick J. 2 Sashegyi, Andreas I. 1 Abels, Herbert 1 Belk, James M. 1 Billera, Louis J. 1 Dror Farjoun, Emmanuel 1 Gersten, Stephen M. 1 Kahn, Peter J. 1 Meier, John 1 Thévenaz, Jacques all top 5 Serials 4 Commentarii Mathematici Helvetici 4 Inventiones Mathematicae 4 Journal of Pure and Applied Algebra 2 Journal of Algebra 2 Graduate Texts in Mathematics 1 American Mathematical Monthly 1 The Canadian Journal of Statistics 1 Israel Journal of Mathematics 1 The Annals of Probability 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Journal of Theoretical Probability 1 International Journal of Algebra and Computation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Group Theory 1 Innovations in Incidence Geometry 1 Springer Monographs in Mathematics all top 5 Fields 35 Group theory and generalizations (20-XX) 16 Algebraic topology (55-XX) 9 Manifolds and cell complexes (57-XX) 8 Category theory; homological algebra (18-XX) 7 Geometry (51-XX) 4 Probability theory and stochastic processes (60-XX) 3 Number theory (11-XX) 3 Convex and discrete geometry (52-XX) 2 Combinatorics (05-XX) 2 Statistics (62-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 2,085 times in 1,695 Documents Cited by ▼ Year ▼ Cohomology of groups. Zbl 0584.20036Brown, Kenneth S. 789 1982 Cohomology of groups (Summary of talks). Zbl 0367.18012Brown, K. S. 211 1976 Buildings. Zbl 0715.20017Brown, Kenneth S. 149 1989 Finiteness properties of groups. Zbl 0613.20033Brown, Kenneth S. 126 1987 Buildings. Theory and applications. Zbl 1214.20033Abramenko, Peter; Brown, Kenneth S. 125 2008 An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group. Zbl 0557.55009Brown, Kenneth S.; Geoghegan, Ross 84 1984 Abstract homotopy theory and generalized sheaf cohomology. Zbl 0245.55007Brown, Kenneth S. 71 1974 Semigroups, rings, and Markov chains. Zbl 0980.60014Brown, Kenneth S. 62 2000 Random walks and hyperplane arrangements. Zbl 0938.60064Brown, Kenneth S.; Diaconis, Persi 43 1998 Euler characteristics of discrete groups and G-spaces. Zbl 0294.20047Brown, Kenneth S. 40 1974 Trees, valuations, and the Bieri-Neumann-Strebel invariant. Zbl 0663.20033Brown, Kenneth S. 39 1987 Euler characteristics of groups: The \(p\)-fractional part. Zbl 0294.20048Brown, Kenneth S. 34 1975 Homological criteria for finiteness. Zbl 0302.18010Brown, Kenneth S. 31 1975 The coset poset and probabilistic zeta function of a finite group. Zbl 0973.20016Brown, Kenneth S. 27 2000 Semigroup and ring theoretical methods in probability. Zbl 1043.60055Brown, Kenneth S. 24 2004 Presentations for groups acting on simply-connected complexes. Zbl 0545.20022Brown, Kenneth S. 24 1984 The geometry of rewriting systems: A proof of the Anick-Groves-Squier theorem. Zbl 0764.20016Brown, Kenneth S. 20 1992 Forest diagrams for elements of Thompson’s group \(F\). Zbl 1163.20310Belk, James M.; Brown, Kenneth S. 19 2005 Algebraic \(K\)-theory as generalized sheaf cohomology. Zbl 0291.18017Brown, Kenneth S.; Gersten, Stephen M. 19 1973 Complete Euler characteristics and fixed-point theory. Zbl 0493.20033Brown, Kenneth S. 18 1982 Buildings. Reprint of the 1989 original. Zbl 0922.20034Brown, Kenneth S. 13 1998 Buildings. 2nd, corr. printing. Zbl 0922.20033Brown, Kenneth S. 12 1996 High dimensional cohomology of discrete groups. Zbl 0339.20013Brown, Kenneth S. 12 1976 Finiteness properties of solvable S-arithmetic groups: An example. Zbl 0617.20020Abels, Herbert; Brown, Kenneth S. 11 1987 The Artin-Rees property and homology. Zbl 0321.18010Brown, Kenneth S.; Dror, Emmanuel 11 1975 The geometry of finitely presented infinite simple groups. Zbl 0753.20007Brown, Kenneth S. 9 1992 Automorphisms of non-spherical buildings have unbounded displacement. Zbl 1276.51004Abramenko, Peter; Brown, Kenneth S. 8 2009 A generalization of Sylow’s third theorem. Zbl 0639.20012Brown, Kenneth S.; Thévenaz, Jacques 8 1988 Homotopy dimension and simple cohomological dimension of spaces. Zbl 0351.55009Brown, Kenneth S.; Kahn, Peter J. 7 1977 The homology of Richard Thompson’s group \(F\). Zbl 1113.20043Brown, Kenneth S. 6 2006 Five lectures on buildings. Zbl 0846.20032Brown, Kenneth S. 5 1991 Cohomology with free coefficients of the fundamental group of a graph of groups. Zbl 0584.20037Brown, Kenneth S.; Geoghegan, Ross 5 1985 Estimation in an empirical Bayes model for longitudinal and cross-sectionally clustered binary data. Zbl 0963.62008Sashegyi, Andreas I.; Brown, K. Stephen; Farrell, Patrick J. 4 2000 Improper actions and higher connectivity at infinity. Zbl 1002.57003Brown, Kenneth S.; Meier, John 4 2000 \(FP_\infty\) groups and HNN extensions. Zbl 0521.57001Brown, Kenneth S.; Geoghegan, Ross 3 1983 Cohomology of infinite groups. Zbl 0424.20044Brown, Kenneth S. 3 1980 Lectures on the cohomology of groups. Zbl 1233.20046Brown, Kenneth S. 2 2010 Random walks and plane arrangements in three dimensions. Zbl 0985.60069Billera, Louis J.; Brown, Kenneth S.; Diaconis, Persi 2 1999 Cohomology of groups. (Kogomologii grupp). Transl. from the English by D. B. Fuks. Zbl 0606.20041Brown, Kenneth S. 2 1987 Groups of virtually finite dimension. Zbl 0426.20038Brown, Kenneth S. 2 1979 Transitivity properties for group actions on buildings. Zbl 1163.51002Abramenko, Peter; Brown, Kenneth S. 1 2007 Lectures on the cohomology of groups. Zbl 1233.20046Brown, Kenneth S. 2 2010 Automorphisms of non-spherical buildings have unbounded displacement. Zbl 1276.51004Abramenko, Peter; Brown, Kenneth S. 8 2009 Buildings. Theory and applications. Zbl 1214.20033Abramenko, Peter; Brown, Kenneth S. 125 2008 Transitivity properties for group actions on buildings. Zbl 1163.51002Abramenko, Peter; Brown, Kenneth S. 1 2007 The homology of Richard Thompson’s group \(F\). Zbl 1113.20043Brown, Kenneth S. 6 2006 Forest diagrams for elements of Thompson’s group \(F\). Zbl 1163.20310Belk, James M.; Brown, Kenneth S. 19 2005 Semigroup and ring theoretical methods in probability. Zbl 1043.60055Brown, Kenneth S. 24 2004 Semigroups, rings, and Markov chains. Zbl 0980.60014Brown, Kenneth S. 62 2000 The coset poset and probabilistic zeta function of a finite group. Zbl 0973.20016Brown, Kenneth S. 27 2000 Estimation in an empirical Bayes model for longitudinal and cross-sectionally clustered binary data. Zbl 0963.62008Sashegyi, Andreas I.; Brown, K. Stephen; Farrell, Patrick J. 4 2000 Improper actions and higher connectivity at infinity. Zbl 1002.57003Brown, Kenneth S.; Meier, John 4 2000 Random walks and plane arrangements in three dimensions. Zbl 0985.60069Billera, Louis J.; Brown, Kenneth S.; Diaconis, Persi 2 1999 Random walks and hyperplane arrangements. Zbl 0938.60064Brown, Kenneth S.; Diaconis, Persi 43 1998 Buildings. Reprint of the 1989 original. Zbl 0922.20034Brown, Kenneth S. 13 1998 Buildings. 2nd, corr. printing. Zbl 0922.20033Brown, Kenneth S. 12 1996 The geometry of rewriting systems: A proof of the Anick-Groves-Squier theorem. Zbl 0764.20016Brown, Kenneth S. 20 1992 The geometry of finitely presented infinite simple groups. Zbl 0753.20007Brown, Kenneth S. 9 1992 Five lectures on buildings. Zbl 0846.20032Brown, Kenneth S. 5 1991 Buildings. Zbl 0715.20017Brown, Kenneth S. 149 1989 A generalization of Sylow’s third theorem. Zbl 0639.20012Brown, Kenneth S.; Thévenaz, Jacques 8 1988 Finiteness properties of groups. Zbl 0613.20033Brown, Kenneth S. 126 1987 Trees, valuations, and the Bieri-Neumann-Strebel invariant. Zbl 0663.20033Brown, Kenneth S. 39 1987 Finiteness properties of solvable S-arithmetic groups: An example. Zbl 0617.20020Abels, Herbert; Brown, Kenneth S. 11 1987 Cohomology of groups. (Kogomologii grupp). Transl. from the English by D. B. Fuks. Zbl 0606.20041Brown, Kenneth S. 2 1987 Cohomology with free coefficients of the fundamental group of a graph of groups. Zbl 0584.20037Brown, Kenneth S.; Geoghegan, Ross 5 1985 An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group. Zbl 0557.55009Brown, Kenneth S.; Geoghegan, Ross 84 1984 Presentations for groups acting on simply-connected complexes. Zbl 0545.20022Brown, Kenneth S. 24 1984 \(FP_\infty\) groups and HNN extensions. Zbl 0521.57001Brown, Kenneth S.; Geoghegan, Ross 3 1983 Cohomology of groups. Zbl 0584.20036Brown, Kenneth S. 789 1982 Complete Euler characteristics and fixed-point theory. Zbl 0493.20033Brown, Kenneth S. 18 1982 Cohomology of infinite groups. Zbl 0424.20044Brown, Kenneth S. 3 1980 Groups of virtually finite dimension. Zbl 0426.20038Brown, Kenneth S. 2 1979 Homotopy dimension and simple cohomological dimension of spaces. Zbl 0351.55009Brown, Kenneth S.; Kahn, Peter J. 7 1977 Cohomology of groups (Summary of talks). Zbl 0367.18012Brown, K. S. 211 1976 High dimensional cohomology of discrete groups. Zbl 0339.20013Brown, Kenneth S. 12 1976 Euler characteristics of groups: The \(p\)-fractional part. Zbl 0294.20048Brown, Kenneth S. 34 1975 Homological criteria for finiteness. Zbl 0302.18010Brown, Kenneth S. 31 1975 The Artin-Rees property and homology. Zbl 0321.18010Brown, Kenneth S.; Dror, Emmanuel 11 1975 Abstract homotopy theory and generalized sheaf cohomology. Zbl 0245.55007Brown, Kenneth S. 71 1974 Euler characteristics of discrete groups and G-spaces. Zbl 0294.20047Brown, Kenneth S. 40 1974 Algebraic \(K\)-theory as generalized sheaf cohomology. Zbl 0291.18017Brown, Kenneth S.; Gersten, Stephen M. 19 1973 all cited Publications top 5 cited Publications all top 5 Cited by 1,702 Authors 19 Van Maldeghem, Hendrik J. 17 Gonçalves, Daciberg Lima 15 Steinberg, Benjamin 14 Kochloukova, Dessislava Hristova 13 Ash, Avner 13 Dranishnikov, Alexander Nikolaevich 12 Cleary, Sean 12 Martínez-Pérez, Conchita 11 Caprace, Pierre-Emmanuel 11 Kropholler, Peter H. 11 Zaremsky, Matthew Curtis Burkholder 10 Brown, Kenneth Stephen 10 Parkinson, James 10 Saliola, Franco V. 10 Saltman, David J. 10 Taback, Jennifer 9 Bux, Kai-Uwe 9 Davis, Michael W. 9 Lucchini, Andrea 9 Meier, John 9 Panyanak, Bancha 9 Wortman, Kevin A. 8 Adem, Alejandro 8 Aljadeff, Eli 8 Guba, Victor S. 8 Hosaka, Tetsuya 8 Leary, Ian James 8 Lorenz, Martin 8 Lück, Wolfgang 8 Nucinkis, Brita E. A. 8 Petrosyan, Nansen 8 Symonds, Peter 8 Vogtmann, Karen 7 Bridson, Martin R. 7 Brin, Matthew G. 7 Burillo, José 7 Dekimpe, Karel 7 Dwyer, William G. 7 Paris, Luis 7 Pride, Stephen J. 7 Witzel, Stefan 7 Zimmermann, Bruno P. 6 Ayyer, Arvind 6 Beneish, Esther 6 Bieri, Robert 6 Blagojević, Pavle V. M. 6 Dunfield, Nathan M. 6 Elder, Murray J. 6 Geoghegan, Ross 6 Guaschi, John 6 Margolis, Stuart W. 6 Sapir, Mark Valentinovich 6 Shareshian, John 6 Stein, Melanie I. 6 Struyve, Koen 6 Suciu, Alexander I. 5 Abramenko, Peter 5 Akita, Toshiyuki 5 Burichenko, Vladimir P. 5 Chiswell, Ian M. 5 Diaconis, Persi Warren 5 Emmanouil, Ioannis 5 Farley, Daniel Scott 5 Flores, Ramón J. 5 Fulman, Jason E. 5 Gray, Robert D. 5 Harer, John L. 5 Hermiller, Susan M. 5 Hillman, Jonathan Arthur 5 Januszkiewicz, Tadeusz 5 Jensen, Craig A. 5 Kapovich, Michael 5 Kołodziejczyk, Danuta 5 Kramer, Linus 5 McCammond, Jon 5 Mihalik, Michael L. 5 Mühlherr, Bernhard Matthias 5 Porter, Timothy 5 Thomas Putman, Andrew 5 Rahm, Alexander Daniel 5 Schilling, Anne 5 Strebel, Ralph 5 Wahl, Nathalie 4 Alonso, Juan Miguel 4 Belk, James M. 4 Bleak, Collin 4 Brady, Noel 4 Brady, Thomas 4 Callegaro, Filippo 4 Chang, Shih-Sen 4 Charney, Ruth M. 4 Damian, Erika 4 Daverman, Robert J. 4 de Cornulier, Yves 4 Dehornoy, Patrick 4 Dembegioti, Fotini 4 Díaz Ramos, Antonio 4 Dicks, Warren 4 Dimca, Alexandru 4 Farrell, F. Thomas ...and 1,602 more Authors all top 5 Cited in 232 Serials 178 Journal of Pure and Applied Algebra 176 Journal of Algebra 77 Transactions of the American Mathematical Society 68 Topology and its Applications 62 Advances in Mathematics 62 Algebraic & Geometric Topology 42 Annales de l’Institut Fourier 40 Communications in Algebra 40 Proceedings of the American Mathematical Society 38 Geometry & Topology 37 Groups, Geometry, and Dynamics 33 Israel Journal of Mathematics 33 Inventiones Mathematicae 29 Geometriae Dedicata 29 International Journal of Algebra and Computation 28 Mathematische Zeitschrift 25 Duke Mathematical Journal 24 Mathematische Annalen 19 Journal of Combinatorial Theory. Series A 15 Journal of Group Theory 13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 13 Journal of the American Mathematical Society 12 Communications in Mathematical Physics 12 Archiv der Mathematik 12 Journal of Algebraic Combinatorics 11 Compositio Mathematica 11 Journal of Number Theory 11 European Journal of Combinatorics 11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Discrete Mathematics 9 Cahiers de Topologie et Géométrie Différentielle Catégoriques 9 Fixed Point Theory and Applications 8 Journal of Functional Analysis 8 Journal für die Reine und Angewandte Mathematik 8 \(K\)-Theory 8 Geometric and Functional Analysis. GAFA 8 Journal of Homotopy and Related Structures 7 Mathematical Notes 7 Bulletin of the London Mathematical Society 7 Manuscripta Mathematica 7 Memoirs of the American Mathematical Society 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Tohoku Mathematical Journal. Second Series 7 Bulletin of the American Mathematical Society. New Series 7 Indagationes Mathematicae. New Series 7 Journal de Théorie des Nombres de Bordeaux 7 Journal of Mathematical Sciences (New York) 7 Journal of Topology and Analysis 6 Journal of Geometry and Physics 6 Advances in Applied Mathematics 6 Applied Categorical Structures 6 Algebras and Representation Theory 6 Journal of the European Mathematical Society (JEMS) 5 Publications Mathématiques 5 Semigroup Forum 5 St. Petersburg Mathematical Journal 5 Transformation Groups 5 Annals of Mathematics. Second Series 5 Journal of the Institute of Mathematics of Jussieu 5 Journal of Noncommutative Geometry 5 Journal of Nonlinear Science and Applications 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Nuclear Physics. B 4 Rocky Mountain Journal of Mathematics 4 Glasgow Mathematical Journal 4 Michigan Mathematical Journal 4 Monatshefte für Mathematik 4 Osaka Journal of Mathematics 4 Proceedings of the Japan Academy. Series A 4 Rendiconti del Seminario Matematico della Università di Padova 4 Discrete & Computational Geometry 4 Designs, Codes and Cryptography 4 Experimental Mathematics 4 Journal of Inequalities and Applications 4 Annales Mathématiques du Québec 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Illinois Journal of Mathematics 3 Journal of Soviet Mathematics 3 Proceedings of the London Mathematical Society. Third Series 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Siberian Mathematical Journal 3 Theoretical Computer Science 3 Ergodic Theory and Dynamical Systems 3 Annals of Pure and Applied Logic 3 Forum Mathematicum 3 Differential Geometry and its Applications 3 Expositiones Mathematicae 3 Topology Proceedings 3 Theory and Applications of Categories 3 Documenta Mathematica 3 Annals of Combinatorics 3 Communications in Contemporary Mathematics 3 Journal of the Australian Mathematical Society 3 Journal of Algebra and its Applications 3 Mediterranean Journal of Mathematics 3 Bulletin of the American Mathematical Society 3 Journal of Fixed Point Theory and Applications 3 Journal of Topology 3 Science China. Mathematics 3 Bulletin of Mathematical Sciences ...and 132 more Serials all top 5 Cited in 49 Fields 988 Group theory and generalizations (20-XX) 437 Manifolds and cell complexes (57-XX) 338 Algebraic topology (55-XX) 174 Category theory; homological algebra (18-XX) 147 Combinatorics (05-XX) 143 Associative rings and algebras (16-XX) 139 Number theory (11-XX) 131 Algebraic geometry (14-XX) 107 Topological groups, Lie groups (22-XX) 102 Geometry (51-XX) 80 \(K\)-theory (19-XX) 69 Differential geometry (53-XX) 50 General topology (54-XX) 45 Computer science (68-XX) 43 Several complex variables and analytic spaces (32-XX) 42 Commutative algebra (13-XX) 40 Probability theory and stochastic processes (60-XX) 38 Order, lattices, ordered algebraic structures (06-XX) 38 Nonassociative rings and algebras (17-XX) 37 Functional analysis (46-XX) 36 Convex and discrete geometry (52-XX) 35 Operator theory (47-XX) 34 Dynamical systems and ergodic theory (37-XX) 33 Field theory and polynomials (12-XX) 28 Global analysis, analysis on manifolds (58-XX) 26 Mathematical logic and foundations (03-XX) 25 Abstract harmonic analysis (43-XX) 23 Quantum theory (81-XX) 17 Functions of a complex variable (30-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 6 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 5 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 2 Relativity and gravitational theory (83-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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